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Article Dans Une Revue Advances in Mathematics Année : 2016

Normal forms and embeddings for power-log transseries

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Résumé

Dulac series are asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras of power-log transseries (generalized series) which extend the algebra of Dulac series. We give a formal normal form and prove a formal embedding theorem for transseries in these algebras.

Dates et versions

hal-01414966 , version 1 (12-12-2016)

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Pavao Mardešić, Maja Resman, Jean-Philippe Rolin, Vesna Županović. Normal forms and embeddings for power-log transseries. Advances in Mathematics, 2016, 303, pp.888 - 953. ⟨10.1016/j.aim.2016.08.030⟩. ⟨hal-01414966⟩
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